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Finding the Fourth Proportional to 24,840.68, 34,294.74 and 15,414.44

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Solution

The fourth proportional to 24,840.68, 34,294.74 and 15,414.44 is: 21,280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,840.68 : 34,294.74 = 15,414.44 : x
  2. Step 2: Convert to fraction form
    24,840.68/34,294.74 = 15,414.44/x
  3. Step 3: Cross multiply
    24,840.68x = 34,294.74 × 15,414.44
  4. Step 4: Simplify right side
    24,840.68x = 528,634,212.05
  5. Step 5: Solve for x
    x = 528,634,212.05/24,840.68
  6. Step 6: Final answer
    x = 21,280.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.